Effects of mode coupling on the admittance of an AT-cut quartz thickness-shear resonator

Hui Jing He, Jia Shi Yang, Wei Ping Zhang, Ji Wang

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9 Scopus citations


We study the effects of couplings to flexure and face-shear modes on the admittance of an AT-cut quartz plate thickness-shear mode resonator. Mindlin's two-dimensional equations for piezoelectric plates are employed. Electrically forced vibration solutions are obtained for three cases: pure thickness-shear mode alone; two coupled modes of thickness shear and flexure; and three coupled modes of thickness shear, flexure, and face shear. Admittance is calculated and its dependence on the driving frequency and the length/thickness ratio of the resonator is examined. Results show that near the thickness-shear resonance, admittance assumes maxima, and that for certain values of the length/thickness ratio, the coupling to flexure causes severe admittance drops, while the coupling to the face-shear mode causes additional admittance changes that were previously unknown and hence are not considered in current resonator design practice.

Original languageEnglish (US)
Article number047702
JournalChinese Physics B
Issue number4
StatePublished - Apr 2013
Externally publishedYes


  • plate
  • quartz
  • resonance
  • resonator


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